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1111199166 = 2327211532161
BaseRepresentation
bin100001000111011…
…1000110110111110
32212102220202200200
41002032320312332
54233431333131
6302132504330
736352015500
oct10216706676
92772822620
101111199166
11520274420
1227017b0a6
131492a22cc
14a7815d70
15678492e6
hex423b8dbe

1111199166 has 144 divisors (see below), whose sum is σ = 3114369648. Its totient is φ = 283046400.

The previous prime is 1111199153. The next prime is 1111199171. The reversal of 1111199166 is 6619911111.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1111199166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 513126 + ... + 515286.

It is an arithmetic number, because the mean of its divisors is an integer number (21627567).

Almost surely, 21111199166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111199166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557184824).

1111199166 is an abundant number, since it is smaller than the sum of its proper divisors (2003170482).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1111199166 is a wasteful number, since it uses less digits than its factorization.

1111199166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2237 counting only the distinct ones).

The product of its digits is 2916, while the sum is 36.

The square root of 1111199166 is about 33334.6541304991. The cubic root of 1111199166 is about 1035.7715286299.

The spelling of 1111199166 in words is "one billion, one hundred eleven million, one hundred ninety-nine thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 53 63 66 77 98 99 106 126 147 154 159 198 231 294 318 371 441 462 477 539 583 693 742 882 954 1078 1113 1166 1386 1617 1749 2161 2226 2597 3234 3339 3498 4081 4322 4851 5194 5247 6483 6678 7791 8162 9702 10494 12243 12966 15127 15582 19449 23373 23771 24486 28567 30254 36729 38898 45381 46746 47542 57134 71313 73458 85701 90762 105889 114533 136143 142626 166397 171402 211778 213939 229066 257103 272286 317667 332794 343599 427878 499191 514206 635334 687198 801731 953001 998382 1030797 1164779 1259863 1497573 1603462 1906002 2061594 2329558 2405193 2519726 2995146 3494337 3779589 4810386 5612117 6988674 7215579 7559178 8819041 10483011 11224234 11338767 14431158 16836351 17638082 20966022 22677534 26457123 33672702 50509053 52914246 61733287 79371369 101018106 123466574 158742738 185199861 370399722 555599583 1111199166